{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c116a3fd-3e50-4182-a720-9c7ac225150d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cantera as ct\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "p0 = 101325\n",
    "T0 = 300\n",
    "phi = 0.7\n",
    "alpha = 0.6\n",
    "width = 0.02\n",
    "loglevel = 0\n",
    "\n",
    "xh2 = alpha / (1 - alpha) * 1\n",
    "fuel = {'CH4': 1, 'H2': xh2}\n",
    "oxidizer = {'O2': 1, 'N2': 3.76}\n",
    "\n",
    "gas = ct.Solution('gri30.yaml')\n",
    "gas.TP = T0, p0\n",
    "gas.set_equivalence_ratio(phi, fuel, oxidizer)\n",
    "\n",
    "# ----- Laminar Flame simulation -----\n",
    "laminar_flame = ct.FreeFlame(gas, width=width)\n",
    "laminar_flame.set_refine_criteria(ratio=3, slope=0.06, curve=0.12)\n",
    "laminar_flame.solve(loglevel, auto=True)\n",
    "\n",
    "z_lam = laminar_flame.grid\n",
    "T_lam = laminar_flame.T\n",
    "Y_CH4_lam = laminar_flame.Y[gas.species_index('CH4')]\n",
    "Y_H2_lam = laminar_flame.Y[gas.species_index('H2')]\n",
    "\n",
    "# ----- Counterflow Flame simulation -----\n",
    "gas.TP = T0, p0\n",
    "gas.set_equivalence_ratio(phi, fuel, oxidizer)\n",
    "\n",
    "counter_flame = ct.CounterflowPremixedFlame(gas, width=width)\n",
    "counter_flame.reactants.mdot = 0.1\n",
    "counter_flame.solve(loglevel, auto=True)\n",
    "\n",
    "z_counter = counter_flame.grid\n",
    "T_counter = counter_flame.T\n",
    "Y_CH4_counter = counter_flame.Y[gas.species_index('CH4')]\n",
    "Y_H2_counter = counter_flame.Y[gas.species_index('H2')]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f91e3a6b-1b1c-47e4-88ae-7ec7768f8aec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ----- temperature graph -----\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 6), sharey=True)\n",
    "\n",
    "# Laminar Flame\n",
    "axs[0].plot(z_lam, T_lam, label='Temperature [K]', color='red')\n",
    "axs[0].set_title('Laminar Flame')\n",
    "axs[0].set_xlabel('Distance (m)')\n",
    "axs[0].set_ylabel('Temperature / Mole Fraction')\n",
    "axs[0].legend()\n",
    "axs[0].grid()\n",
    "\n",
    "# Counterflow Flame\n",
    "axs[1].plot(z_counter, T_counter, label='Temperature [K]', color='red')\n",
    "axs[1].set_title('Counterflow Premixed Flame')\n",
    "axs[1].set_xlabel('Distance (m)')\n",
    "axs[1].legend()\n",
    "axs[1].grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f5900b40-4bd6-4eac-9a8d-ad32967f6ee4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ----- mole fraction graph -----\n",
    "fig, axs = plt.subplots(1, 2, figsize=(12, 6), sharey=True)\n",
    "\n",
    "axs[0].plot(z_lam, Y_CH4_lam, label='CH4 Mole Fraction', linestyle='--')\n",
    "axs[0].plot(z_lam, Y_H2_lam, label='H2 Mole Fraction', linestyle='-.')\n",
    "axs[0].set_title('Laminar Flame')\n",
    "axs[0].set_xlabel('Distance (m)')\n",
    "axs[0].set_ylabel('Temperature / Mole Fraction')\n",
    "axs[0].legend()\n",
    "axs[0].grid()\n",
    "\n",
    "\n",
    "axs[1].plot(z_counter, Y_CH4_counter, label='CH4 Mole Fraction', linestyle='--')\n",
    "axs[1].plot(z_counter, Y_H2_counter, label='H2 Mole Fraction', linestyle='-.')\n",
    "axs[1].set_title('Counterflow Premixed Flame')\n",
    "axs[1].set_xlabel('Distance (m)')\n",
    "axs[1].legend()\n",
    "axs[1].grid()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
